Fa\a di Bruno Hopf algebras
H Figueroa, JM Gracia-Bondia, JC Varilly - arXiv preprint math/0508337, 2005 - arxiv.org
H Figueroa, JM Gracia-Bondia, JC Varilly
arXiv preprint math/0508337, 2005•arxiv.orgThis is a short review on the Fa\a di Bruno formulas, and some Hopf algebras associated to
them. These allow, among several other things, a short proof of the Lie-Scheffers theorem,
and relating the Lagrange inversion formulas with antipodes. The link of Fa\a di Bruno
formulas with the theory of set partitions is developed in some detail.
them. These allow, among several other things, a short proof of the Lie-Scheffers theorem,
and relating the Lagrange inversion formulas with antipodes. The link of Fa\a di Bruno
formulas with the theory of set partitions is developed in some detail.
This is a short review on the Fa\`a di Bruno formulas, and some Hopf algebras associated to them. These allow, among several other things, a short proof of the Lie-Scheffers theorem, and relating the Lagrange inversion formulas with antipodes. The link of Fa\`a di Bruno formulas with the theory of set partitions is developed in some detail.
arxiv.org